| 摘要: |
| 本文研究了非奇异M-矩阵A与B的Fan积的最小特征值下界和非负矩阵A与B的Hadamard积 的谱半径上界的估计问题.利用Brauer定理,得到了一些只依赖于矩阵的元素且易于计算的新估计式,改进 了文献[4]现有的一些结果. |
| 关键词: M-矩阵 非负矩阵 Hadamard积 Fan积 谱半径 最小特征值 |
| DOI： |
| 分类号:O151.21 |
| 基金项目:Supported by Scientific Research Fund of Yunnan Provincial Education Department (2012Y427; 2010Y073). |
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| SOME NEW EIGENVALUE BOUNDS FOR THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES |
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CHEN Fu-bin, REN Xian-hua, HAO Bing
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Department of Architecture and Engineering, Oxbridge College, Kunming University of Science and Technology, Kunming 650106, China
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| Abstract: |
| A lower bound for the minimum eigenvalue for the Fan product of nonsingular M-matrices A and B and an upper bound for the spectral radius of Hadamard product of nonnegative matrices A and B are studied in this paper.By using the Brauer's theorem,some new estimating formulas of the bounds are obtained,which depend only on the entries and are easier to calculate.These bounds improve some results of [4]. |
| Key words: M-matrix nonnegative matrix Hadamard product Fan product spectral radius minimum eigenvalue |
